By "pulsating" current, I presume you mean alternating current. If so then the answer is YES. Current, (electron flow) is measured with a device called an "amprobe". It measures current flow in amperes. (the device or circuit you're measuring must be in use and drawing power to get a measurement. An amprobe is that electrical meter with a large "clamp" at the top of it. The clamp must be placed around the hot conductor and only one conductor. For example if you put the clamp around a cord running say a toaster, it'll read 0 because the neutral cancels out the signal of the hot conductor. If you're measuring a 3 phase device, you again must measure each of the three "hot" wires individually. The three "legs" should all be close in their amp values. You can average them, but note the highest value is the critical value. Also note that if you look this up on say Google, be aware that "Amprobe" is a brand name of the first company who made these devices. (I still have an original from the 70's) Now virtually all electrical meter manufacturers make "amprobes."
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An ammeter. It measures the electrical current output.
All types of generators induce EMF in sinusoidal wave form. (A.C.) In a D.C. generator the function of a commutator is to convert A.C. EMF into D.C. The commutator rectifies the output that is the alternating current so as to produce unidirectional alternating current (pulsating DC). This reverses the negative polarity current to a positive one so as the output is a pulsating DC.
An ammeter measures the electrical current in something. A digital one is calibrated to display through the shunt and convert information from the analog model.
An electrical ammeter.
When AC full wave is rectified into DC by using bridge rectifier .The DC do not actually behave like an ordinary DC and the DC has a constant value .In fact, it is in pulsating form.This is known as Pulsating DC.